420.4 is what percent of 1288 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1288 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1288, so we can write it down as 100%=1288.
4. We know, that x% equals 420.4 of the output value, so we can write it down as x%=420.4.
5. Now we have two simple equations:
1) 100%=1288
2) x%=420.4
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1288/420.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 420.4 is what percent of 1288

100%/x%=1288/420.4
(100/x)*x=(1288/420.4)*x       - we multiply both sides of the equation by x
100=3.0637488106565*x       - we divide both sides of the equation by (3.0637488106565) to get x
100/3.0637488106565=x
32.639751552795=x
x=32.639751552795

now we have:
420.4 is 32.639751552795% of 1288